0.10(x+2)-0.90(x+6)=-7.6

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Solution for 0.10(x+2)-0.90(x+6)=-7.6 equation: 


Simplifying
0.10(x + 2) + -0.90(x + 6) = -7.6

Reorder the terms:
0.10(2 + x) + -0.90(x + 6) = -7.6
(2 * 0.10 + x * 0.10) + -0.90(x + 6) = -7.6
(0.2 + 0.10x) + -0.90(x + 6) = -7.6

Reorder the terms:
0.2 + 0.10x + -0.90(6 + x) = -7.6
0.2 + 0.10x + (6 * -0.90 + x * -0.90) = -7.6
0.2 + 0.10x + (-5.4 + -0.90x) = -7.6

Reorder the terms:
0.2 + -5.4 + 0.10x + -0.90x = -7.6

Combine like terms: 0.2 + -5.4 = -5.2
-5.2 + 0.10x + -0.90x = -7.6

Combine like terms: 0.10x + -0.90x = -0.8x
-5.2 + -0.8x = -7.6

Solving
-5.2 + -0.8x = -7.6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5.2' to each side of the equation.
-5.2 + 5.2 + -0.8x = -7.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + -0.8x = -7.6 + 5.2
-0.8x = -7.6 + 5.2

Combine like terms: -7.6 + 5.2 = -2.4
-0.8x = -2.4

Divide each side by '-0.8'.
x = 3

Simplifying
x = 3

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